1500 RPM to rad/s
1500 RPM ≈ 157.08 rad/s
1500 revolutions per minute is approximately 157.08 radians per second.
How to convert 1500 RPM to rad/s
Use the formula rad/s = RPM × 0.10471975512:
rad/s = 1500 × 0.10471975512rad/s = 157.079633
So 1500 RPM = 157.079633 rad/s, or about 157.08 rad/s rounded.
Rounded values and quick estimate
- Rounded to a whole number: 157 rad/s
- Rounded to one decimal place: 157.1 rad/s
- Conversion factor: 1 revolution per minute = 0.1047 radians per second
Quick mental estimate: divide by 10 (multiply by 0.105). For 1500 RPM that gives about 150 rad/s — off by 7.08 rad/s (4.5%). Use the exact formula when precision matters.
1500 RPM in other units
- Radians per second
- 157.08 rad/s
1500 RPM and nearby values
| Revolutions per minute | Radians per second |
|---|---|
| 1496 RPM | 156.66 rad/s |
| 1497 RPM | 156.77 rad/s |
| 1498 RPM | 156.87 rad/s |
| 1499 RPM | 156.97 rad/s |
| 1500 RPM | 157.08 rad/s |
| 1501 RPM | 157.18 rad/s |
| 1502 RPM | 157.29 rad/s |
| 1503 RPM | 157.39 rad/s |
| 1504 RPM | 157.5 rad/s |
About revolutions per minute and radians per second
Revolutions per minute measure rotational speed for engines, motors and record players.
Radians per second is the SI unit of angular velocity. One revolution is 2π radians.
Related conversions
Frequently asked questions
What is 1500 RPM in rad/s?
1500 revolutions per minute is about 157.08 radians per second (1500 RPM ≈ 157.08 rad/s).
How do you convert 1500 RPM to rad/s?
Apply rad/s = RPM × 0.10471975512: rad/s = 1500 × 0.10471975512, rad/s = 157.079633.
How many revolutions per minute is 157.08 rad/s?
157.08 rad/s is about 1500 revolutions per minute.